Mr. Dennis travels 27.2 miles to work each day.

What additional information could you use to show that ΔSTU ≅ ΔVTU using SAS? Check all that apply.

GalinKa [24]

Options

A. UV = 14 ft and m∠TUV = 45°

B. TU = 26 ft

C. m∠STU = 37° and m∠VTU = 37°

D. ST = 20 ft, UV = 14 ft, and m∠UST = 98°

E. m∠UST = 98° and m ∠TUV = 45°

Answer:

A. UV = 14 ft and m∠TUV = 45°

D. ST = 20 ft, UV = 14 ft, and m∠UST = 98°

Step-by-step explanation:

Given

See attachment for triangle

Required

What proves that: ΔSTU ≅ ΔVTU using SAS

To prove their similarity, we must check the corresponding sides and angles of both triangles

First:

$\angle UST$ must equal $\angle UVT$

So:

$\angle UST = \angle UVT = 98$

Next:

UV must equal US.

So:

$UV = US = 14$

Also:

ST must equal VT

So:

$ST = VT = 20$

Lastly

$\angle TUV$ must equal $\angle TUS$

So:

$\angle TUV = \angle TUS = 45$

Hence: Options A and D are correct

4 0

1 year ago

How long will it take before twenty percent of our 1,000-gram sample of uranium-235 has decayed? [See Section 6.6 Example 13] Th

horsena [70]

Answer:

From what I can see of the problem, you CANNOT solve for the half-life of U 235 AND then solve for the length of time to determine the 20% decay.

U-235 half-life is 704,000,000 years. (Wikipedia)

The elapsed time formula = half-life * [log (Beginning Amount / ending amount) / log 2]

elapsed time = 7.04 x 10^8 * [log (100 % / 80%) / log 2]

elapsed time =7.04 x 10^8 * [log (1.25) / .30103]

elapsed time =7.04 x 10^8 * [0.096910 / .30103]

elapsed time = 7.04 x 10^8 * 0.321928047

elapsed time = 226,637,000 years

Step-by-step explanation:

8 0

1 year ago

Aa if #2 wasn't confusing enough, laura is now trying to come up with a number where three less than 8 times the number is equal

umka21 [38]

Answer: Laura cannot find the number, as explained below.

Explanation:

1) The question is aimed to determine the number that Laura is trying to come up with.

Such question is solved by stating an algebraic equation from the word statement, which is done step by step.

2) Using the name x for the unknown, the expression "three less than 8 times the number" is translated to: 8x - 3

3) The expression "half of 16 times the number after it was increased by 1" is translated to: (1/2) (16x + 1)

4) Finally, since they are equal, you can set the equation:

8x - 3 = (1/2) (16x + 1)

5) And solve for x in this way:

i) Distributive property:

8x - 3 = 8x + 1/2

ii) At this stage you can see that the both 8x terms (on the left and on the right) cancel each other, which leads to the impossibility to determine the value of the unknown:

-3 = 1/2 which is alwasy false, meaning that the equation has no solution.

4 0

2 years ago

Look at the middle 7 in the decimal 0.777. How is its value related to the value of the 7 to its left? To the value of the 7 to

masya89 [10]

Answer:

Value of middle 7 = $\frac{1}{10}$ (value of 7 to the left of the middle 7)

Value of middle 7 = $10$ (value of 7 to the right of the middle 7)

Step-by-step explanation:

7 in the middle of number $0.777$ is equal to $\frac{7}{100}$

7 to the left of the middle 7 is equal to $\frac{7}{10}$

So,

$\frac{7}{100}=(\frac{1}{10}) \frac{7}{10}$

That is value of middle 7 = $\frac{1}{10}$ (value of 7 to the left of the middle 7)

Also,

7 to the right of the middle 7 is equal to $\frac{7}{1000}$

So,

$\frac{7}{100}=(10) \frac{7}{1000}$

That is value of middle 7 = $10$ (value of 7 to the right of the middle 7)

5 0

1 year ago

Farrah borrowed $155 from her brother. She has already paid back $15. She plans to pay back $35 each month until the debt is pai

Sergeeva-Olga [200]

Answer:

4 months

Step-by-step explanation:

if she paid the 15 already subtract it from the 155. Once you that you get 140 and if you break that inton groups of 35 *division* than you get 4. As in 4 months

7 0

2 years ago

Read 2 more answers